Electrostatics 2 Question 20
21. For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram. Given that
(2006, 5M)
$ V=\frac{q}{4 \pi \varepsilon_{0} R_{0}} \text { for } r \leq R_{0} \text { and } V=\frac{q}{4 \pi \varepsilon_{0} r} \text { for } r \geq R_{0} $
Then, which option(s) are correct
(a) Total charge within $2 R_{0}$ is $q$
(b) Total electrostatic energy for $r \leq R_{0}$ is zero
(c) At $r=R_{0}$ electric field is discontinuous
(d) There will be no charge anywhere except at $r=R_{0}$
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Answer:
Correct Answer: 21. (a, b, c, d)
Solution:
- The given graph is of charged conducting sphere of radius $R_{0}$. The whole charge $q$ distributes on the surface of the sphere.